Theorem T78 The series ∑p prime1p=12+13+15+17+111+…\sum_{p \text{ prime}} \frac{1}{p} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \ldots p prime∑p1=21+31+51+71+111+… is divergent.